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[texts]Sophus Lie (Volume 9) - Halsted, George Bruce
"Sophus Lie" is an article from Science, Volume 9. View more articles from Science.View this article on JSTOR.View this article's JSTOR metadata.You may also retrieve all of this items metadata in JSON at the following URL: https://archive.org/metadata/jstor-1625847
Downloads: 26
[texts]Biography: Sophus Lie (Volume 6) - Halsted, George Bruce
"Biography: Sophus Lie" is an article from The American Mathematical Monthly, Volume 6. View more articles from The American Mathematical Monthly.View this article on JSTOR.View this article's JSTOR metadata.You may also retrieve all of this items metadata in JSON at the following URL: https://archive.org/metadata/jstor-2967890
Downloads: 55
[texts]Some Reminiscences in Regard to Sophus Lie (Volume 6) - Miller, G. A.
"Some Reminiscences in Regard to Sophus Lie" is an article from The American Mathematical Monthly, Volume 6. View more articles from The American Mathematical Monthly.View this article on JSTOR.View this article's JSTOR metadata.You may also retrieve all of this items metadata in JSON at the following URL: https://archive.org/metadata/jstor-2968038
Downloads: 33
[texts]Sophus Lie, Friedrich Engel and the Riemann-Helmholtz problem - Joel Merker
A focused modernization of Sophus Lie's brilliant writings about the foundations of geometry that every contemporary geometer should have at least once a look at. Translated, updated, commented.
Downloads: 8
[texts]Sophus Lie's Transformation Groups: A Series of Elementary, Expository Articles (Volume 4) - Lovett, Edgar Odell
"Sophus Lie's Transformation Groups: A Series of Elementary, Expository Articles" is an article from The American Mathematical Monthly, Volume 4. View more articles from The American Mathematical Monthly.View this article on JSTOR.View this article's JSTOR metadata.You may also retrieve all of this items metadata in JSON at the following URL: https://archive.org/metadata/jstor-2969843
Downloads: 29
[texts]Sophus Lie's Transformation Groups: A Series of Elementary, Expository Articles (Volume 5) - Lovett, Edgar Odell
"Sophus Lie's Transformation Groups: A Series of Elementary, Expository Articles" is an article from The American Mathematical Monthly, Volume 5. View more articles from The American Mathematical Monthly.View this article on JSTOR.View this article's JSTOR metadata.You may also retrieve all of this items metadata in JSON at the following URL: https://archive.org/metadata/jstor-2968949
Downloads: 24
[texts]Sophus Lie's Transformation Groups: A Series of Elementary, Expository Articles (Volume 5) - Lovett, Edgar Odell
"Sophus Lie's Transformation Groups: A Series of Elementary, Expository Articles" is an article from The American Mathematical Monthly, Volume 5. View more articles from The American Mathematical Monthly.View this article on JSTOR.View this article's JSTOR metadata.You may also retrieve all of this items metadata in JSON at the following URL: https://archive.org/metadata/jstor-2970885
Downloads: 26
[texts]On Sophus Lie's Representation of Imaginaries in Plane Geometry (Volume 3) - Smith, Percey F.
"On Sophus Lie's Representation of Imaginaries in Plane Geometry" is an article from The Annals of Mathematics, Volume 3. View more articles from The Annals of Mathematics.View this article on JSTOR.View this article's JSTOR metadata.You may also retrieve all of this items metadata in JSON at the following URL: https://archive.org/metadata/jstor-1967644
Downloads: 47
[texts]Sophus Lie's Transformation Groups: A Series of Elementary, Expository Articles (Volume 4) - Lovett, Edgar Odell
"Sophus Lie's Transformation Groups: A Series of Elementary, Expository Articles" is an article from The American Mathematical Monthly, Volume 4. View more articles from The American Mathematical Monthly.View this article on JSTOR.View this article's JSTOR metadata.You may also retrieve all of this items metadata in JSON at the following URL: https://archive.org/metadata/jstor-2971628
Downloads: 27
[texts]Sophus Lie's Transformation Groups: A Series of Elementary Articles (Volume 4) - Lovett, Edgar Odell
"Sophus Lie's Transformation Groups: A Series of Elementary Articles" is an article from The American Mathematical Monthly, Volume 4. View more articles from The American Mathematical Monthly.View this article on JSTOR.View this article's JSTOR metadata.You may also retrieve all of this items metadata in JSON at the following URL: https://archive.org/metadata/jstor-2968975
Downloads: 34
[texts]iso-spectral Euler-Bernoulli beams à la Sophus Lie - C. Wafo Soh
We obtain iso-spectral Euler-Bernoulli beams by using factorization and Lie symmetry techniques. The canonical Euler-Bernoulli beam operator is factorized as the product of a second-order linear differential operator and its adjoint. The factors are then reversed to obtain iso-spectral beams. The factorization is possible provided the coefficients of the factors satisfy a system of non-linear ordinary differential equations ...
Downloads: 22
[texts]A solution of a problem of Sophus Lie: Normal forms of 2-dim metrics admitting two projective vector fields - Robert L. Bryant
We give a complete list of normal forms for the 2-dimensional metrics that admit a transitive Lie pseudogroup of geodesic-preserving transformations and we show that these normal forms are mutually non-isometric. This solves a problem posed by Sophus Lie.
Downloads: 4
[texts]Geometrie der Berührungstransformationen. Dargestell von Sophus Lie und Georg Scheffers. 1. Band - Lie, Sophus, 1842-1899
No more published
Keywords: Contact transformations
Downloads: 433
[texts]Contact Lie algebras of vector fields on the plane - Boris M. Doubrov
The paper is devoted to the complete classification of all real Lie algebras of contact vector fields on the first jet space of one-dimensional submanifolds in the plane. This completes Sophus Lie's classification of all possible Lie algebras of contact symmetries for ordinary differential equations. As a main tool we use the abstract theory of filtered and graded Lie algebras. We also describe all differential and integral invariants of new Lie algebras found in the paper and discuss the infini...
Downloads: 3
[texts]Transitive Lie algebras of vector fields---an overview - Jan Draisma
This overview paper is intended as a quick introduction to Lie algebras of vector fields. Originally introduced in the late 19th century by Sophus Lie to capture symmetries of ordinary differential equations, these algebras, or infinitesimal groups, are a recurring theme in 20th-century research on Lie algebras. I will focus on so-called transitive or even primitive Lie algebras, and explain their theory due to Lie, Morozov, Dynkin, Guillemin, Sternberg, Blattner, and others...
Downloads: 10
[texts]The heritage of S.Lie and F.Klein: Geometry via transformation groups - Ercüment Ortaçgil
We outline a framework which generalizes Felix Klein's Erlanger Programm which he announced in 1872 after exchanging ideas with Sophus Lie.
Downloads: 27
[texts]Introductory treatise on Lie's theory of finite continuous transformation groups - Campbell, John Edward, 1862-1924
14 21
Keywords: Continuous groups
Downloads: 787 3.00 out of 5 stars3.00 out of 5 stars3.00 out of 5 stars(1 review)
[texts]Two-dimensional metrics admitting precisely one projective vector field - Vladimir S. Matveev
We give a complete list of two-dimensional metrics that admit an essential projective vector field. This solves a problem explicitly posed by Sophus Lie in 1882.
Downloads: 4
[texts]Hilbert modular forms and their applications - Jan Hendrik Bruinier
The present notes contain the material of the lectures given by the author at the summer school on ``Modular Forms and their Applications'' at the Sophus Lie Conference Center in the summer of 2004.
Downloads: 8
[texts]From pentacyclic coordinates to chain geometries, and back - Hans Havlicek
Starting with the classical circle geometry of Sophus Lie, we give a survey about some of the developments in the area of chain geometries during the last three decades.
Downloads: 25
[texts]Symmetry approaches for reductions of PDEs, differential constraints and Lagrange-Charpit method - Boris Kruglikov
Many methods for reducing and simplifying differential equations are known. They provide various generalizations of the original symmetry approach of Sophus Lie. Plenty of relations between them have been noticed and in this note a unifying approach will be discussed. It is rather close to the classical differential constraint method, but we provide certain rigorous results basing on recent advances in compatibility theory of non-linear overdetermined systems and homological methods for PDEs.
Downloads: 4
[texts]The Evanston colloquium: lectures on mathematics delivered from Aug. 28 to Sept. 9, 1893 before members of the Congress of mathematics held in connection with the World's fair in Chicago at Northwestern university, Evanston, Ill. - Klein, Felix, 1849-1925
I. Clebsch.--II-III. Sophus Lie.--IV. On the real shape of algebraic curves and surfaces.--V. Theory of functions and geometry.--VI. On the mathematical character of space-intuition, and the relation of pure mathematics to the applied sciences.--VII. The transcendency of the numbers [epsilon] and [pi].--VIII. Ideal numbers.--IX. The solution of higher algebraic equations.--X. On some recent advances in hyperelliptic and Abelian functions.--XI...
Keywords: Mathematics
Downloads: 463
[texts]Explicit differential characterization of the Newtonian free particle system in m > 1 dependent variables - Joel Merker
In 1883, as an early result, Sophus Lie established an explicit necessary and sufficient condition for an analytic second order ordinary differential equation y_xx = F(x,y,y_x) to be equivalent, through a point transformation (x,y) --> (X(x,y), Y(x,y)), to the Newtonian free particle equation Y_XX = 0. This result, preliminary to the deep group-theoretic classification of second order analytic ordinary differential equations, was parachieved later in 1896 by Arthur Tresse, a French student of S...
Downloads: 6
[texts]Über Integralinvarianten und Differentialgleichungen - Lie, Sophus, 1842-1899
Book from Project Gutenberg: Über Integralinvarianten und Differentialgleichungen Library of Congress Classification: QA
Keywords: Differential equations; Integrals
Downloads: 102
[texts]Über Integralinvarianten und Differentialgleichungen - Sophus Lie
Book digitized by Google from the library of Harvard University and uploaded to the Internet Archive by user tpb.
Downloads: 126
[texts]Vorlesungen über continuierliche Gruppen mit geometrischen und anderen ... - Sophus Lie
Book digitized by Google from the library of Harvard University and uploaded to the Internet Archive by user tpb.
Downloads: 75
[texts]Archiv for Mathematik Og Naturvidenskab - Sophus Lie, Worm Müller, G. O. Sars
Book digitized by Google from the library of Harvard University and uploaded to the Internet Archive by user tpb.
Downloads: 186
[texts]Archiv for Mathematik Og Naturvidenskab - Sophus Lie, Worm Müller, G. O. Sars
Book digitized by Google from the library of Harvard University and uploaded to the Internet Archive by user tpb.
Downloads: 396
[texts]Geometrie der berührungstransformationen (Volume 1) - Lie, Sophus, 1842-1899
Book digitized by Google from the library of Harvard University and uploaded to the Internet Archive by user tpb.
Keywords: Contact transformations
Downloads: 180
[texts]Theorie der Transformationsgruppen (Volume 2) - Lie, Sophus, 1842-1899
Book digitized by Google and uploaded to the Internet Archive by user tpb.
Keywords: Transformation groups; Continuous groups; Contact transformations
Downloads: 314
[texts]Classification der flächen nach der transformationsgruppe ihrer geodätischen ... - Sophus Lie
Book digitized by Google from the library of Harvard University and uploaded to the Internet Archive by user tpb.
Downloads: 121
[texts]Classification der flächen nach der transformationsgruppe ihrer geodätischen curven - Sophus Lie
Book digitized by Google from the library of Oxford University and uploaded to the Internet Archive by user tpb.
Downloads: 149
[texts]Archiv for Mathematik Og Naturvidenskab - Sophus Lie, Worm Müller, G. O. Sars
Book digitized by Google from the library of Harvard University and uploaded to the Internet Archive by user tpb.
Downloads: 443
[texts]Theorie der Transformationsgruppen (Volume 1) - Lie, Sophus, 1842-1899
Book digitized by Google and uploaded to the Internet Archive by user tpb.
Keywords: Transformation groups; Continuous groups; Contact transformations
Downloads: 283
[texts]Zur Theorie der Berührungstransformationen - Lie, Sophus, 1842-1899
Mode of access: Internet
Keywords: bub_upload; Contact transformations
Downloads: 3
[texts]Die Begriffe Gruppe und Invariante (Volume 11) - Lie, Sophus
"Die Begriffe Gruppe und Invariante" is an article from American Journal of Mathematics, Volume 11. View more articles from American Journal of Mathematics.View this article on JSTOR.View this article's JSTOR metadata.You may also retrieve all of this items metadata in JSON at the following URL: https://archive.org/metadata/jstor-2369418
Downloads: 27
[texts]Vorlesungen über differentialgleichungen mit bekannten infinitesimalen transformationen - Lie, Sophus, 1842-1899
Book digitized by Google from the library of Harvard University and uploaded to the Internet Archive by user tpb.
Keywords: Differential equations; Transformations, Infinitesimal
Downloads: 187
[texts]Vorlesungen über continuierliche Gruppen mit geometrischen und anderen Anwendungen. Bearb. und hrsg. von Georg Scheffers - Lie, Sophus, 1842-1899
14
Keywords: Continuous groups
Downloads: 312
[texts]Vorlesungen über Differentialgleichungen mit bekannter infinitesimalen Transformationen. Bearb. und hrsg. von Georg Scheffers - Lie, Sophus, 1842-1899
14 32
Keywords: Differential equations; Transformations, Infinitesimal
Downloads: 254
[texts]Vorlesungen über differentialgleichungen mit bekannten infinitesimalen transformationen - Lie, Sophus, 1842-1899
Book digitized by Google from the library of the New York Public Library and uploaded to the Internet Archive by user tpb.
Keywords: Differential equations; Transformations, Infinitesimal
Downloads: 208
[texts]Geometrie der berührungstransformationen - Lie, Sophus, 1842-1899

Keywords: Contact transformations
Downloads: 661
[texts]Vorlesungen über differentialgleichungen mit bekannten infinitesimalen transformationen [microform - Lie, Sophus, 1842-1899

Keywords: Differential equations; Transformations, Infinitesimal
Downloads: 645
[texts]Gesammelte Abhandlungen : Auf Grund einer Bewilligung aus dem Norwegischen Forschungsfonds von 1919 mit Unterstützung der Videnskapsakademi zu Oslo und der Akademie der Wissenschaften zu Leipzig - Lie, Sophus, 1842-1899
Vol. 1 , suppl.
Keywords: Mathematics
Downloads: 725
[texts]Gesammelte Abhandlungen : Auf Grund einer Bewilligung aus dem Norwegischen Forschungsfonds von 1919 mit Unterstützung der Videnskapsakademi zu Oslo und der Akademie der Wissenschaften zu Leipzig - Lie, Sophus, 1842-1899
Vol. 1
Keywords: Mathematics
Downloads: 566
[texts]Gesammelte Abhandlungen : Auf Grund einer Bewilligung aus dem Norwegischen Forschungsfonds von 1919 mit Unterstützung der Videnskapsakademi zu Oslo und der Akademie der Wissenschaften zu Leipzig - Lie, Sophus, 1842-1899

Keywords: Mathematics
Downloads: 619
[texts]Theorie der transformationsgruppen (Volume 3) - Lie, Sophus, 1842-1899
Vol. 3
Keywords: Transformation groups; Continuous groups; Contact transformations
Downloads: 632
[texts]Theorie der transformationsgruppen (Volume 2) - Lie, Sophus, 1842-1899
Vol. 2
Keywords: Transformation groups; Continuous groups; Contact transformations
Downloads: 974
[texts]Gesammelte abhandlungen auf grund einer bewilligung aus dem Norwegischen forschungsfonds von 1919 mit unterstützung der Videnskapskademi zu Oslo und der Akademie der wissenschaften zu Leipzig - Lie, Sophus, 1842-1899
Vol.2
Keywords: Mathematics
Downloads: 617
[texts]Gesammelte Abhandlungen : Auf Grund einer Bewilligung aus dem Norwegischen Forschungsfonds von 1919 mit Unterstützung der Videnskapsakademi zu Oslo und der Akademie der Wissenschaften zu Leipzig - Lie, Sophus, 1842-1899
Vol. 5
Keywords: Mathematics
Downloads: 705
[texts]Gesammelte Abhandlungen : Auf Grund einer Bewilligung aus dem Norwegischen Forschungsfonds von 1919 mit Unterstützung der Videnskapsakademi zu Oslo und der Akademie der Wissenschaften zu Leipzig - Lie, Sophus, 1842-1899
Vol. 2 sup
Keywords: Mathematics
Downloads: 744
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